A meshless method for numerical solution of the coupled Schrodinger-KdV equations

This paper presents meshless method using RBF collocation scheme for the coupled Schrodinger-KdV equations. Instead of traditional mesh oriented methods such as finite element method (FEM) or finite difference method (FDM), this method requires only a scattered set of nodes in the domain. For this scheme, error estimates and stability analysis are studied. L-2 and L-infinity error norms between the results and exact solution is used as a performance measure. Moreover the results of numerical experiments are presented, and are compared with the findings of Finite Element method, finite difference Crank-Nicolson (CN) scheme and analytical solution to confirm the good accuracy of the presented scheme.